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Finding the Fourth Proportional to 52,520.74, 72,471.78 and 29,859.25

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Solution

The fourth proportional to 52,520.74, 72,471.78 and 29,859.25 is: 41,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,520.74 : 72,471.78 = 29,859.25 : x
  2. Step 2: Convert to fraction form
    52,520.74/72,471.78 = 29,859.25/x
  3. Step 3: Cross multiply
    52,520.74x = 72,471.78 × 29,859.25
  4. Step 4: Simplify right side
    52,520.74x = 2,163,952,951.67
  5. Step 5: Solve for x
    x = 2,163,952,951.67/52,520.74
  6. Step 6: Final answer
    x = 41,201.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.